Assuming that a neutron star has the same density as a neutron, calculate the mass (in kg).?
Assuming that a neutron star has the same density as a neutron, calculate the mass (in kg).? of a small piece of a neutron star the size of a spherical pebble with a radius of 0.20 mm.Submitted: 1911 days ago
You cannot assume that the densities are the same. It has something to do with the strong nuclear force with its limitations that disallows this. Even though the neutron star is very dense, a neutron is much denser.
The classical radius of the neutron is 1.1Ã—10^-15 m and the mass of the neutron is 1.67Ã—10^-27 kg. So the volume of the neutron would be 5.6Ã—10^-45 m^3, and its density would be about 3.0Ã—10^17 kg/m^3. According to Wikipedia, a neutron star has a density typically ranging from 8.4Ã—10^16 kg/m^3 to 1Ã—10^18 kg/m^3, so we can use the value 3.0Ã—10^17 kg/m^3 (although the previous answerer is right in saying that we would not be justified in _assuming_ that the densities are approximately equal).
Given is a sphere with radius 0.00020 m; its volume is 3.4Ã—10^-11 m^3. Therefore, the mass works out to about 1.0Ã—10^7 kg.